Synergistic enhancing of micellization and thermodynamic properties of some Gemini cationic surfactants related to benzo[d]thiazol-3-ium bromide

El-Dossoki, Farid I.; Migahed, Mohamed A.; Gouda, Mahmoud M.; El-Maksoud, Samir A. Abd

doi:10.1186/s13065-024-01334-9

Table 7 The degree of ionization, (α) the counter ion binding, (β) and the standard free energy of micellization, the limiting molar conductivity (Λ₀), association constant (K_a), and the standard free energy change of association (ΔG_a) and micellization (ΔG_mic.) for the surfactants understudy in 0.001M and 0.01M solutions of different inorganic salts 15% DMSO –water solvent at 298.15K

From: Synergistic enhancing of micellization and thermodynamic properties of some Gemini cationic surfactants related to benzo[d]thiazol-3-ium bromide

Sur. name	Salt Conc. mol L⁻¹	Salt name	\(\propto \)	\(\upbeta \)	\({\Delta G}_{mic}\) (kJ/mol)	\({\Lambda }_{0}\) S.m².mol⁻¹	\({K}_{a}\)	\({\Delta G}_{a}\) (kJ/mol)
TBC 6	0.001	NaCl	0.7136	0.2864	− 26.030	2326	1,093,447	− 34.47
		NaBr	0.7467	0.2533	− 25.843	2133	1,498,273	− 35.25
		NaI	0.7934	0.2066	− 25.549	2791	1,653,112	− 35.50
		CoCl₂	0.7829	0.2171	− 24.565	5150	2,553,115	− 36.58
		CuCl₂	0.7666	0.2334	− 26.431	3524	1,012,979	− 34.28
		MnCl₂	0.7807	0.2193	− 26.269	3619	1,982,866	− 35.95
	0.01	NaCl	0.9556	0.0444	− 27.756	21,579	2,518,357	− 36.54
		NaBr	0.7950	0.2050	− 26.280	23,756	1,846,096	− 35.77
		NaI	0.9548	0.0452	− 26.384	23,378	4,386,258	− 37.91
		CoCl₂	0.8591	0.1409	− 26.832	32,209	5,341,669	− 38.40
		CuCl₂	0.8258	0.1742	− 26.021	39,994	6,861,714	− 39.02
		MnCl₂	0.9197	0.0803	− 25.154	41,314	2,600,565	− 36.62
TBC 12	0.001	NaCl	0.6702	0.3298	− 28.441	2326	1,266,818	− 34.84
		NaBr	0.6674	0.3326	− 28.830	2433	1,666,505	− 35.52
		NaI	0.7642	0.2358	− 26.398	2791	1,599,675	− 35.42
		CoCl₂	0.6662	0.3338	− 27.449	4950	2,958,284	− 36.94
		CuCl₂	0.7118	0.2882	− 28.201	3724	1,072,670	− 34.43
		MnCl₂	0.8348	0.1652	− 25.264	2919	2,573,418	− 36.6
	0.01	NaCl	0.7396	0.2604	− 29.406	16,000	4,832,914	− 38.15
		NaBr	0.7384	0.2616	− 29.598	19,000	2,556,325	− 36.55
		NaI	0.9111	0.0889	− 29.933	14,000	5,799,868	− 38.61
		CoCl₂	0.8077	0.1923	− 29.534	32,000	9,683,245	− 39.88
		CuCl₂	0.5618	0.4382	− 31.984	31,000	4,700,581	− 38.08
		MnCl₂	0.8884	0.1116	− 29.550	39,000	3,767,181	− 37.54
TBC 18	0.001	NaCl	0.5694	0.4306	− 34.737	1326	1,854,616	− 35.78
		NaBr	0.6055	0.3945	− 34.094	1433	1,954,509	− 35.91
		NaI	0.7421	0.2579	− 33.604	1791	2,474,822	− 36.50
		CoCl₂	0.7336	0.2664	− 33.585	3050	3,010,138	− 36.98
		CuCl₂	0.7580	0.2420	− 33.979	3524	1,673,414	− 35.53
		MnCl₂	0.8995	0.1005	− 33.538	2919	2,895,114	− 36.89
	0.01	NaCl	0.7593	0.2407	− 34.314	12,000	5,628,836	− 38.53
		NaBr	0.6344	0.3656	− 34.449	12,000	4,114,195	− 37.75
		NaI	0.8050	0.1950	− 35.166	18,000	9,697,917	− 39.80
		CoCl₂	0.7995	0.2005	− 36.817	34,000	14,099,602	− 40.81
		CuCl₂	0.8108	0.1892	− 38.756	22,000	22,244,399	− 41.94
		MnCl₂	0.9026	0.0974	− 36.536	25,000	9,185,123	− 39.75

Standard uncertainties (u) of α and β are = 0.002

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